Mathematics
Using ruler and compasses, construct a parallelogram ABCD given that AB = 4 cm, AC = 10 cm, BD = 6 cm. Measure BC.
Rectilinear Figures
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Answer
Steps of construction:
- Draw a line segment AB = 4 cm.
- Construct triangle OAB such that
OA = x AC = 5cm
OB = x BD = 3cm
With A as center and radius 5 cm and with centre B and radius 3 cm, draw arcs intersecting each other at O.
As, diagonals of || gm bisect each other. - Produce AO to C such that OA = OC = 5cm.
- Produce BO to D such that OB = OD = 3cm.
- Join AD, BC and CD. Then ABCD is the required parallelogram.
On measuring, BC = 7.2 cm.
Hence, BC = 7.2 cm.
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